On Genus-one String Amplitudes on AdS₅ times S⁵
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We study non-planar correlators in ${\cal N}=4$ super-Yang-Mills in Mellin space. We focus in the stress tensor four-point correlator to order $1/N^4$ and in a strong coupling expansion. This can be regarded as the genus-one four-point graviton amplitude of type IIB string theory on $AdS_5 \times S^5$ in a low energy expansion. Both the loop supergravity result as well as the tower of stringy corrections have a remarkable simple structure in Mellin space, making manifest important properties such as the correct flat space limit and the structure of UV divergences.
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Cited by 1 Pith paper
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$20'$ Five-Point Function of $\mathcal{N}=4$ SYM and Stringy Corrections
Bootstrap on Mellin amplitudes computes the first stringy correction to the five-point 20' correlator in N=4 SYM up to one undetermined coefficient, with flat-space limit checks and byproduct four-point results.
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